https://file.aiquickdraw.com/mathbot/file/1727315395618zady3lau.jpg

The expression in the image is:

\[
3\sqrt{5} \times 3\sqrt{5} \times 2\sqrt{6}
\]

Let's simplify this step-by-step:

1. **Group the constants and the square roots separately**:
   \[
   (3 \times 3 \times 2) \times (\sqrt{5} \times \sqrt{5} \times \sqrt{6})
   \]

2. **Multiply the constants**:
   \[
   3 \times 3 \times 2 = 18
   \]

3. **Multiply the square roots**:
   \[
   \sqrt{5} \times \sqrt{5} = 5
   \]
   So now you have:
   \[
   5 \times \sqrt{6} = 5\sqrt{6}
   \]

4. **Multiply everything together**:
   \[
   18 \times 5\sqrt{6} = 90\sqrt{6}
   \]

So, the simplified result is:

\[
90\sqrt{6}
\]

Would you like further details or explanations on any step?

Here are five related questions for practice:
1. What is \((2\sqrt{3}) \times (4\sqrt{12})\)?
2. Simplify the expression \(\sqrt{8} \times \sqrt{2}\).
3. What is the product of \(5\sqrt{7} \times 3\sqrt{7}\)?
4. How do you multiply two expressions involving square roots, like \(\sqrt{2} \times \sqrt{18}\)?
5. What is the result of \(6\sqrt{10} \times 2\sqrt{5}\)?

**Tip**: When multiplying square roots, remember that \(\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}\).

Learn how to simplify the expression 3√5 × 3√5 × 2√6 step-by-step. This problem involves multiplying radicals and constants, applying the square root multiplication rule, and simplifying the result to 90√6. Suitable for students in Grades 8-10.

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